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Simplifying 8x + 6 + -1(6x + -3) = 19 Reorder the terms: 8x + 6 + -1(-3 + 6x) = 19 8x + 6 + (-3 * -1 + 6x * -1) = 19 8x + 6 + (3 + -6x) = 19 Reorder the terms: 6 + 3 + 8x + -6x = 19 Combine like terms: 6 + 3 = 9 9 + 8x + -6x = 19 Combine like terms: 8x + -6x = 2x 9 + 2x = 19 Solving 9 + 2x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 19 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 19 + -9 2x = 19 + -9 Combine like terms: 19 + -9 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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